Thelp-solution of the nonlinear matrix equationXY=A
β Scribed by K. Zietak
- Publisher
- Springer Netherlands
- Year
- 1983
- Tongue
- English
- Weight
- 390 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0006-3835
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π SIMILAR VOLUMES
## Abstract In this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equation __X__ + __A__^\*^__X__^βΞ±^__A__ = __Q__ with Ξ± β (0, β) are given. Iterative methods to obtain the positive definite solutions are established and the rat
We consider iterative methods for t;le minimal nonnegativc :~oiu)i()n of the matrix equation G = ~, (), ,G', where the matrices ,4, are nonnegative and \'~ ,)..I, is stocha:4ic. Convergence theory lbr an 'inversion frec algorithm is established. The convergence rale of this algorithm is sho,s'.i ~o